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Finding the Fourth Proportional to 286,412.83, 395,256.67 and 157,359.66

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Solution

The fourth proportional to 286,412.83, 395,256.67 and 157,359.66 is: 217,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,412.83 : 395,256.67 = 157,359.66 : x
  2. Step 2: Convert to fraction form
    286,412.83/395,256.67 = 157,359.66/x
  3. Step 3: Cross multiply
    286,412.83x = 395,256.67 × 157,359.66
  4. Step 4: Simplify right side
    286,412.83x = 62,197,455,662.28
  5. Step 5: Solve for x
    x = 62,197,455,662.28/286,412.83
  6. Step 6: Final answer
    x = 217,160.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.